Angles 1 and 3, angles 2 and 4, angles 5 and 7, and angles 6 and 8. They are also congruent, because vertical angles are congruent.
The general expression is 130 x - 600 and total points scored by the player is 1220
A) Let the number of correctly answered questions be x.
∴ Number of incorrectly answered questions will be 20 - x.
+ 100 points is awarded for each question answered correctly while -30 points is awarded for each question answered incorrectly.
Thus, the general equation becomes
= 100x - (20 - x)(-30)
= 100x +30x - 600
= 130x - 600
Thus the general expression becomes 130 x - 600
B) The player answers 14 questions correctly, thus x = 14
Substituting the value of x =14 in the general equation we get,
= 130(14) - 600
= 1820 - 600
= 1220.
Thus the total points scored by the player will be 1220
Learn more about Linear Equations here :
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Answer:O_O
Step-by-step explanation:
Answer: all points
that satisfy
Step-by-step explanation:
The slope of the line is
![\frac{-1-8}{-1-5}=\frac{-9}{-6}=\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1-8%7D%7B-1-5%7D%3D%5Cfrac%7B-9%7D%7B-6%7D%3D%5Cfrac%7B3%7D%7B2%7D)
So, substituting into point-slope form, the equation is
![y+1=\frac{3}{2}(x+1)\\\\y+1=\frac{3}{2}x+\frac{3}{2}\\\\y=\frac{3}{2}x+\frac{1}{2}](https://tex.z-dn.net/?f=y%2B1%3D%5Cfrac%7B3%7D%7B2%7D%28x%2B1%29%5C%5C%5C%5Cy%2B1%3D%5Cfrac%7B3%7D%7B2%7Dx%2B%5Cfrac%7B3%7D%7B2%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B3%7D%7B2%7Dx%2B%5Cfrac%7B1%7D%7B2%7D)
Therefore, all points
that satisfy
will lie on the same line.
D. 48 degrees
on calculator: 2ND SIN (72/97) = about 47.92